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klio [65]
3 years ago
11

Simplify the expression 5/x^-2y^5

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

\Lagre\Huge\boxed{\dfrac{5}{x^{-2}y^5}=\dfrac{5x^2}{y^5}}

Step-by-step explanation:

a^{-n}=\dfrac{1}{a^n}\to x^{-2}=\dfrac{1}{x^2}\\\\\text{therefore}\\\\\dfrac{5}{x^{-2}y^5}=\dfrac{5}{\frac{1}{x^2}\cdot y^5}=\dfrac{5}{y^5}\cdot\dfrac{x^2}{1}=\dfrac{5x^2}{y^5}

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In class of 25 students 3 students failed. what is the probability that student from this class will pass (not fail)
elixir [45]
The probability that a student will fail is 3/25, there are 25 of them, thus the sample space is 25 and 3 out of that is 3/25 or 0.12.

what's the probability that one will pass?  well, the opposite of failing, thus is the complement of 0.12, namely, 1 - 0.12.
6 0
4 years ago
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*LOOK AT PICTURE*<br> A) 8.45 in<br> B) 3.125 in<br> C) 6.25 in<br> D) 62.5 in
RUDIKE [14]
C. 6.25 in

Ratios and cross multiplication:
2 inches is to 130 feet as x is to 406.25 feet

2/130 = x/406.25
(2)(406.25) = (130)(x)
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4 0
3 years ago
What is 1/6 + 1/6 + 1/6
tatyana61 [14]

Answer:

1/6 + 1/6 + 1/6 =

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6 0
4 years ago
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The 5 horses on Miranda's farm each eat 20 pounds of feed per day . How many tons of feed do the horses in in 30 days
satela [25.4K]

Answer:

1.5 tons

Step-by-step explanation:

First determine how much feed is eaten per day

5 * 20 lbs = 100 lbs per day

Then multiply by the number of days

30 * 100 = 3000 lbs

But the question asks tons, not lbs

We know there are 2000 lbs in a ton

3000lbs/ 2000lbs per ton = 1.5 tons

7 0
3 years ago
Parabola skate rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc Hawk Skat rental rents skate boards fo
mel-nik [20]

Answer:

Variable: h is hours and r is the rental costs

Two equations are:

For Parabola Skate rental company; r =4.50h + 35

For Arc Hawk Skate rental company; r =5.25h + 25

Rate of change for each company:

Parabola:  rate of change is, 4.50 per hours

Arc Hawk: rate of change is, 5.25 per hours

Step-by-step explanation:

Let h represents the hours and  r represents the rental costs.

Parabola Skate rental company: rents skate boards for $4.50 per hour with a rental fee of $35.

⇒ r =4.50h + 35

Arc Hawk Skate rental Company: rents skate boards for 5.25 per hour with a rental fee of $25.

⇒  r =5.25h + 25

To find the rate of change for each rental company:

Rate of change states the rate that describes how one quantity changes in relation to another quantity.

If y is the dependent variable and x is the independent variables

then,

y=mx+b ; where m is the slope or rate of change.

In this question, rate of change(m) represents the costs per hour to rent the skate boards.

  • For Parabola Skate rental company:

Rate of change = 4.50 per hour

  • For Arc Hawk Skate rental company:

Rate of change = 5.25 per hour




5 0
3 years ago
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